Dynamics of Chronic Myeloid Leukemia Under Imatinib Treatment: A Study of Resistance Development

Irina Badralexi, Ana-Maria Bordei (), Andrei Halanay () and Ileana Rodica Rădulescu
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Irina Badralexi: Department of Mathematical Methods and Models, National University of Science and Technology POLITEHNICA Bucharest, 060042 Bucharest, Romania
Ana-Maria Bordei: National Institute for Aerospace Research “Elie Carafoli”-INCAS Bucharest, 061126 Bucharest, Romania
Andrei Halanay: Department of Mathematics and Informatics, National University of Science and Technology POLITEHNICA Bucharest, 060042 Bucharest, Romania
Ileana Rodica Rădulescu: Department of Mathematical Methods and Models, National University of Science and Technology POLITEHNICA Bucharest, 060042 Bucharest, Romania

Mathematics, 2024, vol. 12, issue 24, 1-17

Abstract: Chronic myeloid leukemia (CML) is a hematological disorder characterized by the abnormal proliferation of leukemic cells. This study aims to model the dynamics of leukemic and healthy cell populations in CML, considering the role of the immune system and the effects of treatment with Imatinib. The model also addresses the development of treatment resistance in cells, following the Goldie–Coldman hypothesis. We employ a system of delay differential equations to simulate the interactions between leukemic cells, healthy cells, and the immune system under treatment. The results provide insights into the dynamic balance between leukemic cells, healthy cells, and immune responses, and the impact of developing resistance on treatment outcomes.

Keywords: chronic myeloid leukemia; asymmetric division; immune system; imatinib; delay differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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